Lie coalgebra equips an exterior algebra (algebra of fermions) with a
structure of a differential algebra. In similar way we equip an algebr
a of quantum fermions (quantized exterior algebra) with a structure of
a differential algebra. This leads to a notion of a variety of Lie co
algebras for a Hecke braid. This approach is different from that of Gu
revich (1988 and 1993), Woronowicz (1989) and of Majid (1993).